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Simplifying -4x + 8 = -6(x + 1) Reorder the terms: 8 + -4x = -6(x + 1) Reorder the terms: 8 + -4x = -6(1 + x) 8 + -4x = (1 * -6 + x * -6) 8 + -4x = (-6 + -6x) Solving 8 + -4x = -6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + -4x + 6x = -6 + -6x + 6x Combine like terms: -4x + 6x = 2x 8 + 2x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 2x = -6 + 0 8 + 2x = -6 Add '-8' to each side of the equation. 8 + -8 + 2x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = -6 + -8 2x = -6 + -8 Combine like terms: -6 + -8 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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